Answer:
The answer is below
Step-by-step explanation:
1. COST Mr. Rivera wants to purchase a riding lawn mower, which is on sale for 15% off the marked price. The store charges sales tax 6.5% on all sales. Write a function p(x) that represents the price after a 15% discount. Write a function t(x) that represents the total cost with sales tax. Write a composition of functions that represents the total cost of a riding lawn mower on sale. How much will Mr. Rivera pay for a riding lawn mower that has a marked price of $3000?
Solution:
a) Let x represent the marked price and p(x) represent the price after discount. Since a discount of 15% is given, the price would be:
p(x) = 
b) If x = discounted price and t(x) = total cost with sales tax, then:
t(x) = 
c) Let t(x) represents the total cost with sales tax
![t[p(x)] =p(x)+6.5\%\ of\ p(x) \\\\t[p(x)] = 0.85x+(0.065*0.85x)\\\\t[p(x)] =0.90525x\\\\for\ x=\$3000:\\\\t[p(3000)] = 0.90525*3000=\$2715.75](https://tex.z-dn.net/?f=t%5Bp%28x%29%5D%20%3Dp%28x%29%2B6.5%5C%25%5C%20of%5C%20p%28x%29%20%5C%5C%5C%5Ct%5Bp%28x%29%5D%20%3D%200.85x%2B%280.065%2A0.85x%29%5C%5C%5C%5Ct%5Bp%28x%29%5D%20%3D0.90525x%5C%5C%5C%5Cfor%5C%20x%3D%5C%243000%3A%5C%5C%5C%5Ct%5Bp%283000%29%5D%20%3D%200.90525%2A3000%3D%5C%242715.75)
Answer: a) 1977060966, b) 146581344.
Step-by-step explanation:
Since we have given that
There are 10 numbers,
There are 26 lower case letters,
There are 26 upper case letters,
Since the first 3 characters have to be digits and next 6 can be upper or lower.
So, a) repetitions are allowed:

b) repetitions are not allowed:

Hence, a) 1977060966, b) 146581344.
Hi there,
I think the answer is
14
Have a nice day
Answer:
It has 3 sides and the measure is 3
Step-by-step explanation:
Graph 3 is the answer. Choose a point on the line. Go down by 3. Then go to the right by 5.